Question
Download Solution PDFA copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm. Find the length of the wire.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A copper sphere of diameter 18 cm is drawn into a wire of diameter 6 mm.
Concept used:
Volume of sphere = 4/3πr3
Volume of cylinder = πr2h
Calculation:
Radius of sphere = 9 cm
Radius of wire = 0.3 cm [As 1 cm = 10 mm]
According to the question,
Volume of sphere = Volume of cylinder
⇒ 4/3π93 = π0.32x
⇒ 4/3 × 729 = 0.32x
⇒ 4 × 243 = 0.09x
⇒ x = 10800 cm = 108 m
∴ The length of the wire is 108 m.
Last updated on Jul 19, 2025
-> The SSC CGL Notification 2025 has been announced for 14,582 vacancies of various Group B and C posts across central government departments.
-> CSIR NET City Intimation Slip 2025 has been released @csirnet.nta.ac.in.
-> The SSC CGL Tier 1 exam is scheduled to take place from 13th to 30th August 2025 in multiple shifts.
-> Aspirants should visit the official website @ssc.gov.in 2025 regularly for CGL Exam updates and latest announcements.
-> Candidates had filled out the SSC CGL Application Form from 9 June to 5 July, 2025. Now, 20 lakh+ candidates will be writing the SSC CGL 2025 Exam on the scheduled exam date. Download SSC Calendar 2025-25!
-> In the SSC CGL 2025 Notification, vacancies for two new posts, namely, "Section Head" and "Office Superintendent" have been announced.
-> Candidates can refer to the CGL Syllabus for a better understanding of the exam structure and pattern.
-> The CGL Eligibility is a bachelor’s degree in any discipline, with the age limit varying from post to post.
-> The SSC CGL Salary structure varies by post, with entry-level posts starting at Pay Level-4 (Rs. 25,500 to 81,100/-) and going up to Pay Level-7 (Rs. 44,900 to 1,42,400/-).
-> Attempt SSC CGL Free English Mock Test and SSC CGL Current Affairs Mock Test.